Dirichlet character \(\chi_{4235}(3009,\cdot)\)

• Label: 4235.3009
• Modulus: $4235$
• Conductor: $4235$
• Order: $110$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4235\)
Conductor:	\(4235\)
Order:	\(110\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4235.cv

\(\chi_{4235}(139,\cdot)\) \(\chi_{4235}(244,\cdot)\) \(\chi_{4235}(314,\cdot)\) \(\chi_{4235}(349,\cdot)\) \(\chi_{4235}(629,\cdot)\) \(\chi_{4235}(734,\cdot)\) \(\chi_{4235}(909,\cdot)\) \(\chi_{4235}(1014,\cdot)\) \(\chi_{4235}(1084,\cdot)\) \(\chi_{4235}(1119,\cdot)\) \(\chi_{4235}(1294,\cdot)\) \(\chi_{4235}(1399,\cdot)\) \(\chi_{4235}(1469,\cdot)\) \(\chi_{4235}(1504,\cdot)\) \(\chi_{4235}(1679,\cdot)\) \(\chi_{4235}(1784,\cdot)\) \(\chi_{4235}(1854,\cdot)\) \(\chi_{4235}(1889,\cdot)\) \(\chi_{4235}(2064,\cdot)\) \(\chi_{4235}(2239,\cdot)\) \(\chi_{4235}(2274,\cdot)\) \(\chi_{4235}(2449,\cdot)\) \(\chi_{4235}(2554,\cdot)\) \(\chi_{4235}(2624,\cdot)\) \(\chi_{4235}(2834,\cdot)\) \(\chi_{4235}(2939,\cdot)\) \(\chi_{4235}(3009,\cdot)\) \(\chi_{4235}(3044,\cdot)\) \(\chi_{4235}(3219,\cdot)\) \(\chi_{4235}(3324,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{55})$
Fixed field:	Number field defined by a degree 110 polynomial (not computed)

Values on generators

\((2542,1816,2906)\) → \((-1,-1,e\left(\frac{59}{110}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(8\)	\(9\)	\(12\)	\(13\)	\(16\)	\(17\)
\( \chi_{ 4235 }(3009, a) \)	\(1\)	\(1\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{4}{55}\right)\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{6}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{3}{11}\right)\)	\(e\left(\frac{19}{110}\right)\)	\(e\left(\frac{8}{55}\right)\)	\(e\left(\frac{31}{110}\right)\)